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1
Content available remote Dynamic Programming Approach for Partial Decision Rule Optimization
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EN
This paper is devoted to the study of an extension of dynamic programming approach which allows optimization of partial decision rules relative to the length or coverage. We introduce an uncertainty measure J(T) which is the difference between number of rows in a decision table T and number of rows with the most common decision for T. For a nonnegative real number , we consider γ-decision rules (partial decision rules) that localize rows in subtables of T with uncertainty at most γ. Presented algorithm constructs a directed acyclic graph Δ(T) which nodes are subtables of the decision table T given by systems of equations of the kind "attribute = value". This algorithm finishes the partitioning of a subtable when its uncertainty is at most . The graph Δ(T) allows us to describe the whole set of so-called irredundant γ-decision rules. We can optimize such set of rules according to length or coverage. This paper contains also results of experiments with decision tables from UCI Machine Learning Repository.
2
Content available remote Relationships Between Length and Coverage of Decision Rules
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EN
The paper describes a new tool for study relationships between length and coverage of exact decision rules. This tool is based on dynamic programming approach. We also present results of experiments with decision tables from UCI Machine Learning Repository.
5
Content available remote The effects of length and complexity on constituent ordering in written English
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EN
Based on the written part of the British Component of International Corpus of English (ICE-GB), this paper investigates the interrelationship between length and complexity of sentential constituents and their positions in the sentence. Results show that length and complexity affect sentential constituent ordering. Within the sentence, the longest and the most complex constituents tend to occur in the final position, and the relatively shorter and less complex constituents tend to be in the initial position. However, for sentential constituents in other positions, the length-complexity-position relationship appears to be random. Possible explanations for the findings are provided from different perspectives, especially from the distribution of given and new information.
EN
Container ship length was estimated using artificial neural networks (ANN), as well as a random search based on Multiple Nonlinear Regression (MNLR). Two alternative equations were developed to estimate the length between perpendiculars based on container number and ship velocity using the aforementioned methods and an up-to-date container ship database. These equations could have practical applications during the preliminary design stage of a container ship. The application of heuristic techniques for the development of a MNLR model by variable and function randomisation leads to the automatic discovery of equation sets. It has been shown that an equation elaborated using this method, based on a random search, is more accurate and has a simpler mathematical form than an equation derived using ANN.
EN
Measuring the linear characteristics of chironomid larvae is easier and faster than measuring their mass. The relationships between them are approximated by parabolic equations. Generalized equations are provided for all chironomid larvae. However, these relations vary in different water bodies. Measurements of 1424 chironomid larvae representing several species were taken in Crimean waters with salinity ranging from 0 to 280 PSU. There was a high correlation between three traits. In the case of Baeotendipes noctivagus and Cricotopus gr. sylvestris, dimorphism was found in the “head capsule length– width” relationship. Salinity affects the head capsule. The exponent “b” varied from 1.43 to 3.06 in the “body length-mass” equation for B. noctivagus, and from 1.943 to 2.592 for C. gr. sylvestris. It is inappropriate to use only one coefficient “b” for all chironomid larvae. In B. noctivagus and Paratanytarsus confuses, the mass of one-size larvae decreased with increasing salinity. Salinity is not the only factor affecting the size and mass of chironomid larvae.
EN
We investigate the lattice of machine invariant classes. This is an infinite completely distributive lattice but it is not a Boolean lattice. The length and width of it is c. We show the subword complexity and the growth function create machine invariant classes.
9
Content available remote Computing the Length of Sum of Squares and Pythagoras Element in a Global Field
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EN
This paper presents algorithms for computing the length of a sum of squares and a Pythagoras element in a global field K of characteristic different from 2. In the first part of the paper, we present algorithms for computing the length in a non-dyadic and dyadic (if K is a number field) completion of K. These two algorithms serve as subsidiary steps for computing lengths in global fields. In the second part of the paper we present a procedure for constructing an element whose length equals the Pythagoras number of a global field, termed a Pythagoras element.
EN
In the paper, an application of dynamic programming approach to global optimization of approximate association rules relative to coverage and length is presented. It is an extension of the dynamic programming approach to optimization of decision rules to inconsistent tables. Experimental results with data sets from UCI Machine Learning Repository are included.
EN
In this paper, the elastic moduli of elliptic single walled carbon nanotubes (ESWCNTs) are described. A three-dimensional finite element (FE) model for such carbon nanotubes is proposed. The covalent bonds are simulated by beam elements in the FE model. The elastic moduli of beam elements are ascertained from a linkage between molecular and continuum mechanics. The deformations of the FE model are subsequently used to predict the elastic moduli of ESWCNTs. In order to demonstrate the FE performance, the influence of length, chirality, diameter and cross sectional aspect ratios on the elastic moduli (Young’s modulus and shear modulus) of ESWCNTs is investigated. It is found that the cross sectional aspect ratio of ESWCNTs significantly affects the elastic moduli. With increasing cross sectional aspect ratio, the Young’s modulus and shear modulus decrease. As a result, every change in geometry operates as a defect and decreases the elastic moduli. With increasing the length, Young’s modulus increases and the shear modulus decreases.
EN
Two popular sampling schemes have been used to design control charts by means of a modified exponentially weighted moving average (EWMA) statistic. The structures of the proposed charts, using repetitive group sampling and multiple dependent state sampling, have been presented. The values of average run length have been determined by some specified control chart parameters. The performance of the proposed chart was illustrated via a simulation study. The efficiency of the proposed chart has been compared with the existing one. A practical example based on real data was also given to explain the application of the proposed chart in industry.
EN
ECHR, as an international treaty is part of the Albanian legal system. Among international law instruments, the ECHR enjoys a privileged status in the Albanian legal system by virtue of Article 17 paragraph 2 of the Constitution according to which restrictions to human rights and freedoms cannot infringe the substance of those rights and freedoms and in no case can exceed the restrictions provided for in the ECHR. Article 1 of the Convention requires States to secure the substance of the rights to those in their jurisdiction. The effect of Article 13 is thus to require the provision of a domestic remedy to deal with the substance of an arguable complaint under the Convention and to grant appropriate relief. The scope of this paper is to analyse the effectiveness of the complaint to the Constitutional Court with regard to length of proceedings as part of due process of law in terms of proceedings during the court trial and after the process has been finalized and the final decision should be executed.
EN
The paper is devoted to the study of an algorithm for optimization of inhibitory rules relative to the length. Such rules on the right-hand side have a relation "attribute ≠ value". The considered algorithm is based on an extension of dynamic programming. After the procedure of optimization relative to length, we obtain a graph Λ(T) which describes all nonredundant inhibitory rules with minimum length.
PL
W artykule przedstawiono algorytm dla optymalizacji reguł wzbraniających względem długości. Reguły te w prawej części mają relację "atrybut ≠ wartość". Algorytm opiera się na idei dynamicznego programowania. Dla danej tablicy decyzyjnyej T konstruowany jest skierowany graf acykliczny Λ(T). W wyniku procedury optymalizacji względem długości, na podstawie grafu Λ(T) można opisać cały zbiór nienadmiarowych reguł wzbraniających o minimlanej długości.
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tom 68
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nr 4
265-270
EN
The styloid process is a bony projection, located just anterior to the stylomastoid foramen, the normal length of which is approximately 20–25 mm. Elongation of the process may cause various clinical symptoms such as neck and cervicofacial pain, described as Eagle’s syndrome. The present study aimed to determine the mean length of the styloid process on cadavers, panoramic radiographs, and dry skulls, and to investigate the incidence of the elongated styloid process, while assessing the elongation in relation to Eagle’s syndrome. When the measurements from the panoramic radiographs were assessed, the mean length of the styloid processes in males and females on the right and left sides were found to be the following: 25.78 ± 5.68 mm; 22.69 ± 3.68 mm, 25.80 ± 5.75 mm; and 22.75 ± 3.65 mm, respectively. The males had greater styloid process lengths than the females, and the differences in length on both the right and left sides were statistically significant. Descriptive statistics and comparison results according to age groups were determined. There was no statistically significant difference between right or left styloid process lengths according to age groups. The mean length of the styloid process of the cadavers and dry bones was 22.54 ± 4.24, and there was no significant difference between the right and left sides of the cadavers and dry bones. The incidence of the elongated styloid process was determined as 3.3%, and the elongations revealed a female dominance. The average length of the elongated styloid process was 36.06 ± 6.12 mm, while the mean length of the styloid processes of the subjects reporting Eagle’s syndrome was 40 ± 4.72 mm. The results of this morphological study will assist clinicians in the diagnosis of Eagle’s syndrome. (Folia Morphol 2009; 68, 4: 265–270)
EN
The jugular foramen (JF) varies in shape and size from side to side in the same cranium, and in different crania, racial groups and sexes. Side dominance is also said to be common. The foramen’s irregular shape, its formation by two bones and the numerous nerves and venous channels that pass through it further compound its anatomy. A morphometric study of 20 (40 JF) adult male Nigerian dry skulls was carried out. A bony bridge completely partitioned the JF in 3 (7.5%) of the JF. There was no tripartite JF. The JF mean length on the right and left were 13.90 mm (11.6–17.0 mm) and 14.11 mm (9.2–20.2 mm), while their widths measured 10.22 mm (6.8– –14.4 mm) and 9.57 mm (7.4–12.8 mm) on the right and left respectively. The mean JF area on the right was 437.49 mm (265.35–669.54 mm) and that on the left was 419.48mm (276.46–634.60 mm). Side predominance of one of the JF appeared in 80% of cases. When present, the predominance of the right side was 55%, with 25% on the left. There was a difference in the length and width on each side but no significant difference in the length, width and area of the JF between the two sides. There was a positive correlation between skull width/ length and height/length ratio and JF area and length on each side. In conclusion, complete bony subdivision of the JF was not common among our study population and although the JF was generally larger on the right in our population, this is not statistically significant. A higher skull width/length and height/length ratio is associated with a greater JF length and area.
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